Ground-state behavior of the 3d +/-J random-bond Ising model

Details Ground-state behavior of the 3d +/-J random-bond Ising model Ground-state behavior of the 3d +/-J random-bond Ising model

1998-08-18

arxiv.org/abs/cond-mat/9808197v1

Phys. Rev. B 59, 3617 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 11 figures, revtex

Scientific paper

10.1103/PhysRevB.59.3617

Large numbers of ground states of the three-dimensional $\pm J$ random-bond Ising model are calculated for sizes up to $14^3$ using a combination of a genetic algorithm and Cluster-Exact Approximation. Several quantities are calculated as function of the concentration $p$ of the antiferromagnetic bonds. The critical concentration where the ferromagnetic order disappears is determined using the Binder cumulant of the magnetization. A value of $p_c=0.222\pm 0.005$ is obtained. From the finite-size behavior of the Binder cumulant and the magnetization critical exponents $\nu=1.1 \pm 0.3$ and $\beta=0.2 \pm 0.1$ are calculated.

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